Question

a rhombus shaped field has green grass for 18 cows to graze. if each sides of rhombus is 30 m and its longer diagonal is 48 m , how much area of grass field will each cow be grazing

Answer 1

.....your answer .......

Answer 2

$\huge{\bf{\underline{\red{Solution :}}}}$

⇒The Diagonal of Rhombus divide the rhombus into two equal congruent triangle .

Given,

• a = 30 m
• b = 30 m
• c = 48 m

Now Semi - Perimeter find :

$\implies \bold{\frac{a + b + c}{2}}$

$\implies \bold{\frac{30 + 30 + 48}{2} = 54 \ m}$

Using Heron's Formula :

$\implies \bold{\sqrt{s(s-a)(s-b)(s-c)}}$

$\implies \bold{\sqrt{54 \times 24 \times 24 \times 6}}$

$\implies \bold{432 \ m^{2}}$

Now Area of Grass Field  = 2 x Area of triangle

⇒ 2 x 432 m²

⇒864 m²

Now area of grass field will each cow be grazing :

⇒864/18 = 48 m²(Answer)

$\rule{200}2$